Parabolic sets of roots

Ivan Dimitrov; Vyacheslav Futorny; Dimitar Grantcharov

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arXiv · 0904.0041

Parabolic sets of roots

Ivan Dimitrov·Vyacheslav Futorny·Dimitar Grantcharov

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Abstract

We compare two combinatorial definitions of parabolic sets of roots. We show that these definitions are equivalent for simple finite dimensional Lie algebras, affine Lie algebras, and toroidal Lie algebras. In contrast, these definitions are not always equivalent for simple finite dimensional Lie superalgebras.

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Ivan Dimitrov, Vyacheslav Futorny, Dimitar Grantcharov. 2009-04-14. Parabolic sets of roots. https://arxiv.org/abs/0904.0041

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